AnO(N) algorithm for Stokes and Laplace interactions of particles
作者:
Ashok S. Sangani,
Guobiao Mo,
期刊:
Physics of Fluids
(AIP Available online 1996)
卷期:
Volume 8,
issue 8
页码: 1990-2010
ISSN:1070-6631
年代: 1996
DOI:10.1063/1.869003
出版商: AIP
数据来源: AIP
摘要:
A method for computing Laplace and Stokes interactions amongNspherical particles arbitrarily placed in a unit cell of a periodic array is described. The method is based on an algorithm by Greengard and Rokhlin [J. Comput. Phys.73, 325 (1987)] for rapidly summing the Laplace interactions among particles by organizing the particles into a number of different groups of varying sizes. The far‐field induced by each group of particles is expressed by a multipole expansion technique into an equivalent field with its singularities at the center of the group. The resulting computational effort increases only linearly withN. The method is applied to a number of problems in suspension mechanics with the goal of assessing the efficiency and the potential usefulness of the method in studying dynamics of large systems. It is shown that reasonably accurate results for the interaction forces are obtained in most cases even with relatively low‐order multipole expansions. ©1996 American Institute of Physics.
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